ANSWER:
500.5 m²
STEP-BY-STEP EXPLANATION:
To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.
The area of a trapezoid has the following formula:
[tex]A=\frac{1}{2}(b+B)\cdot h[/tex]Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:
[tex]\begin{gathered} A=\frac{1}{2}(34+43)\cdot13 \\ \\ A=\frac{1}{2}\cdot77\cdot13 \\ \\ A=500.5\text{ m}^2 \end{gathered}[/tex]It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field